A UNIFIED RECURRENCE OPERATOR METHOD FOR OBTAINING NORMALIZED EXPLICIT WAVE-FUNCTIONS FOR SHAPE-INVARIANT POTENTIALS

Authors
JIA CS WANG XG YAO XK CHEN PC XIAO W
Citation
Cs. Jia et al., A UNIFIED RECURRENCE OPERATOR METHOD FOR OBTAINING NORMALIZED EXPLICIT WAVE-FUNCTIONS FOR SHAPE-INVARIANT POTENTIALS, Journal of physics. A, mathematical and general, 31(20), 1998, pp. 4763-4772
Citations number
13
Categorie Soggetti
Physics,"Physycs, Mathematical
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
31
Issue
20
Year of publication
1998
Pages
4763 - 4772
Database
ISI
SICI code
0305-4470(1998)31:20<4763:AUROMF>2.0.ZU;2-U
Abstract
We construct a unified recurrence operator method for obtaining explic it expressions for the wavefunctions of shape-invariant potentials. Ic is found that the normalized coefficients for the energy eigenfunctio ns satisfy a universal recurrence relation. The procedure is illustrat ed in detail for four potentials. We work out the normalized explicit. wavefunctions of Hulthen potential, for which the normalized explicit wavefunctions have not been previously calculated.